@misc{WolfSchrueferWebster2012, author = {Wolf, Thomas and Schr{\"u}fer, Eberhard and Webster, Kenneth}, title = {Solving large linear algebraic systems in the context of integrable non-abelian Laurent ODEs}, issn = {1438-0064}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-16102}, year = {2012}, abstract = {The paper reports on a computer algebra program {\sc LSSS} (Linear Selective Systems Solver) for solving linear algebraic systems with rational coefficients. The program is especially efficient for very large sparse systems that have a solution in which many variables take the value zero. The program is applied to the symmetry investigation of a non-abelian Laurent ODE introduced recently by M.\ Kontsevich. The computed symmetries confirmed that a Lax pair found for this system earlier generates all first integrals of degree at least up to 14.}, language = {en} }